控制理论与应用2012，Vol.29Issue(9)：1215-1222,8.
二型直觉模糊集
Type-2 intuitionistic fuzzy sets
摘要
Abstract
Type-2 fuzzy sets and intuitionistic fuzzy sets have a wide range of practical applications. Type-2 fuzzy sets enhance the ability of the system for dealing with uncertainties. Intuitionistic fuzzy sets provide a theoretical basis to manage the hesitation information appearing to people in judging questions. In this paper, we introduce the concept of type-2 intuitionistic fuzzy sets under type-2 fuzzy sets and intuitionistic fuzzy sets. Furthermore, we prove that type-2 intuitionistic fuzzy sets are the generalized forms of type-1 fuzzy sets, intuitionistic fuzzy sets, interval-valued fuzzy sets and interval-valued intuitionistic fuzzy sets. The basic operations of type-2 intuitionistic fuzzy sets and type-2 intuitionistic fuzzy relations are discussed. Finally, the approximation reasoning based on the type-2 intuitionistic fuzzy theory is studied. A practical example illustrates the practical application background of type-2 intuitionistic fuzzy sets.关键词
二型直觉模糊集/二型模糊集/直觉模糊集/区间值直觉模糊集/模糊数直觉模糊集Key words
type-2 intuitionistic fuzzy sets/ type-2 fuzzy sets/ intuitionistic fuzzy sets/ interval-valued intuitionistic fuzzy sets/ fuzzy number intuitionistic fuzzy sets分类
信息技术与安全科学引用本文复制引用
赵涛,肖建..二型直觉模糊集[J].控制理论与应用,2012,29(9):1215-1222,8.基金项目
国家自然科学基金资助项目(51177137,61134001). （51177137,61134001）
